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Static 3D Triangle Mesh Compression Overview [PDF]
2008 15th IEEE International Conference on Image Processing, 2008 3D triangle meshes are extremely used to model discrete surfaces, and almost always represented with two tables: one for geometry and another for connectivity.
Avilés Rodrigálvarez, Marcos +1 more
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Harmonic numbers, Catalan's triangle and mesh patterns [PDF]
Discrete Mathematics, 2012 The notion of a mesh pattern was introduced recently, but it has already proved to be a useful tool for description purposes related to sets of permutations. In this paper we study eight mesh patterns of small lengths. In particular, we link avoidance of
Kitaev, Sergey, Liese, Jeffrey
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Triangle mesh compression and homological spanning forests [PDF]
, 2012 Triangle three-dimensional meshes have been widely used to represent 3D objects in several applications. These meshes are usually surfaces that require a huge amount of resources when they are stored, processed or transmitted.
Carnero Iglesias, Javier +2 more
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Decimation of triangle meshes [PDF]
ACM SIGGRAPH Computer Graphics, 1992 The polygon remains a popular graphics primitive for computer graphics application. Besides having a simple representation, computer rendering of polygons is widely supported by commercial graphics hardware and software. However, because the polygon is linear, often thousands or millions of primitives are required to capture the details of complex ...
Jonathan A. Zarge +2 more
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Constructing hierarchies for triangle meshes [PDF]
IEEE Transactions on Visualization and Computer Graphics, 1998 We present a method to produce a hierarchy of triangle meshes that can be used to blend different levels of detail in a smooth fashion. The algorithm produces a sequence of meshes M/sub 0/, M/sub 1/, M/sub 2/..., M/sub n/, where each mesh M/sub i/ can be transformed to mesh M/sub i+1/ through a set of triangle-collapse operations.
Gieng, Tran S. +4 more
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Developability of triangle meshes [PDF]
ACM Transactions on Graphics, 2018 Developable surfaces are those that can be made by smoothly bending flat pieces without stretching or shearing. We introduce a definition of developability for triangle meshes which exactly captures two key properties of smooth developable surfaces, namely flattenability and presence of straight ruling lines.
Oded Stein, Eitan Grinspun, Keenan Crane
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Progressive Compression of Triangle Meshes
Image Processing On Line, 2023 International ...
Vidal, Vincent +3 more
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On the interpolation of normal vectors for triangle meshes [PDF]
International Journal for Numerical Methods in Engineering, 2013 SUMMARYThis paper analyzes the problem arising from the need to assign information about the normal vectors to the surface at the nodes of a mesh of triangles. Meshes of triangles do not have normals uniquely defined at the nodes. A widely used technique to compute the normal direction at any given node is to compute the weighted average of the normals
Ubach de Fuentes, Pere-Andreu +2 more
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Practical quad mesh simplification [PDF]
, 2010 In this paper we present an innovative approach to incremental quad mesh simplification, i.e. the task of producing a low complexity quad mesh starting from a high complexity one.
Cignoni P. +4 more
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Conformal equivalence of triangle meshes
ACM Transactions on Graphics, 2008 We present a new algorithm for conformal mesh parameterization. It is based on a precise notion of discrete conformal equivalence for triangle meshes which mimics the notion of conformal equivalence for smooth surfaces.
Springborn, Boris +2 more
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